Statistical Physics of Fracture, Beakdown and Earthquake: Effects of Disorder and Heterogeneity

In this book, the authors bring together basic ideas from fracture mechanics and statistical physics, classical theories, simulation and experimental results to make the statistical physics aspects of fracture more accessible. They explain fracture–like phenomena, highlighting the role of disorder and heterogeneity from a statistical physical viewpoint. The role of defects is discussed in brittle and ductile fracture, ductile to brittle transition, fracture dynamics, failure processes with tension as well as compression: experiments, failure of electrical networks, self–organized critical models of earthquake and their extensions to capture the physics of earthquake dynamics. The text also includes a discussion of dynamical transitions in fracture propagation in theory and experiments, as well as an outline of analytical results in fiber bundle model dynamics With its wide scope, in addition to the statistical physics community, the material here is equally accessible to engineers, earth scientists, mechanical engineers, and material scientists. It also serves as a textbook for graduate students and researchers in physics. INDICE: Preface .INTRODUCTION .MECHANICAL AND FRACTURE PROPERTIES OF SOLIDS .Mechanical Response in Materials .Ductile, Quasi–Brittle and Brittle Materials .Ductile and Brittle Fracture .CRYSTAL DEFECTS AND DISORDER IN LATTICE MODELS .Point Defects .Line Defects .Planar Defects .Lattice Defects: Percolation Theory .Summary .NUCLEATION AND EXTREME STATISTICS IN BRITTLE FRACTURE .Stress Concentration Around Defect .Strength of Brittle Solids: Extreme Statistics .Extreme Statistics in Fibre Bundle Models of Brittle Fracture .Extreme Statistitcs in Percolating Lattice Model of Brittle Fracture .Molecular Dynamics Simulation of Brittle Fracture .Summary .ROUGHNESS OF FRACTURE SURFACES .Roughness Properties in Fracture .Molecular Dynamics Simulation of Fractured Surface .Summary .AVALANCHE DYNAMICS IN FRACTURE .Probing Failure with Acoustic Emissions .Dynamics of Fiber Bundle Model .Interpolations of Global and Local Load Sharing Fiber Bundle Models .Random Threshold Spring Model .Summary .SUBCRITICAL FAILURE OF HETEROGENEOUS MATERIALS .Time of Failure Due to Creep .Dynamics of Strain Rate .Summary .DYNAMICS OF FRACTURE FRONT .Driven Fluctuating Line .Fracture Front Propagation in Fiber Bundle Models .Hydraulic Fracture .Summary .DISLOCATION DYNAMICS AND DUCTILE FRACTURE .Non–Linearity in Materials .Deformation by Slip .Slip by Dislocation Motion .Plastic Strain due to Dislocation Motion .When Does a Dislocation Move? .Ductile–Brittle Transition .Theoretical Work on Ductile–Brittle Transition .ELECTRICAL BREAKDOWN ANALOGY OF FRACTURE .Disordered Fuse Network .Numerical Simulations of Random Fuse Network .Dielectric Breakdown Problem .Summary .EARTHQUAKE AS FAILURE DYNAMICS .Earthquake Statistics: Empirical Laws .Spring–Block Models of Earthquakes .Cellular Automata Models of Earthquakes .Equivalence of Interface and Train Models .Summary .OVERVIEW AND OUTLOOK .APPENDIX .Percolation .Real Space RG for Rigidity Percolation .Fiber Bundle Model .Quantum Breakdown .Fractals .Two Fractal Overlap Model .Microscopic Theories of Friction

• ISBN: 978-3-527-41219-8
• Editorial: Wiley VCH
• Encuadernacion: Cartoné
• Páginas: 344
• Fecha Publicación: 13/07/2015
• Nº Volúmenes: 1
• Idioma: Inglés